采用数据辅助的单通道同频混合信号参数估计方法
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摘要
在非合作卫星通信中,针对具有固定帧长及帧同步序列的单通道同频混合信号的参数估计问题,提出了一种基于数据辅助的参数估计算法。该算法先对帧长及帧头起始位置进行估计,并提取帧同步数据构建辅助函数。在与混合信号做相关运算后去除干扰项,峰值搜索得到频率偏移的精确估计值;使用辅助函数简化混合信号,随后基于最大似然估计理论,实现对信号初相信息的提取。在算法研究的基础上,推导了单通道同频混合信号参数估计的修正克拉美罗界,为算法的性能分析提供了理论依据。仿真结果表明,当帧同步信号达到一定数量时,频率偏移估计方差达到10~(-7),初相估计方差达到10~(-3),性能接近MCRB理论界。
A parameter estimation algorithm based on data assistance is proposed to estimate the parameter estimation problem of single channel co-frequency mixed signal with fixed frame length and frame synchronization sequence in non-cooperative satellite communication. First, the algorithm estimates the frame length and the beginning position of the frame head and extracts the frame synchronization data to construct the auxiliary function. After correlating with mixed signals, the interference term is removed, and the precise estimation of frequency offset is obtained by peak search. The auxiliary function is used to simplify the mixed signal, and then the initial information of the signal is extracted based on the maximum likelihood estimation theory. Finally, the estimation of the signal frequency offset and the initial phase of the signal is realized. Based on algorithm research, the modified Cramer-Rao bound for parameter estimation of single-channel co-frequency mixed signals is derived, which provides a theoretical basis for the performance analysis of the algorithm. The simulation results show that when the frame synchronization signal reaches a certain number, the variance of frequency offset is 10~(-7), and the initial phase variance is 10~(-3).The performance of the algorithm is close to the MCRB theory.
A parameter estimation algorithm based on data assistance is proposed to estimate the parameter estimation problem of single channel co-frequency mixed signal with fixed frame length and frame synchronization sequence in non-cooperative satellite communication. First, the algorithm estimates the frame length and the beginning position of the frame head and extracts the frame synchronization data to construct the auxiliary function. After correlating with mixed signals, the interference term is removed, and the precise estimation of frequency offset is obtained by peak search. The auxiliary function is used to simplify the mixed signal, and then the initial information of the signal is extracted based on the maximum likelihood estimation theory. Finally, the estimation of the signal frequency offset and the initial phase of the signal is realized. Based on algorithm research, the modified Cramer-Rao bound for parameter estimation of single-channel co-frequency mixed signals is derived, which provides a theoretical basis for the performance analysis of the algorithm. The simulation results show that when the frame synchronization signal reaches a certain number, the variance of frequency offset is 10~(-7), and the initial phase variance is 10~(-3).The performance of the algorithm is close to the MCRB theory.
引文
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[13] 杨勇,郭一鸣,王海昕,等.单通道邻频数字调制混合信号的载波初相估计[J].通信学报,2016,37(10):141-148.YANG Y,GUO Y M,WANG H X,et al.Carrier Initial Phase Estimation for Single Channel Digital Modulation Mixed Signals with Adjacent Frequency[J].Journal of Communications,2016,37(10):141-148.(in Chinese)
[14] 郭一鸣,杨勇,张冬玲,等.单通道同频混合信号时延高效估计方法[J].系统工程与电子技术,2014,36(7):1416-1421.GUO Y M,YANG Y,ZHANG D L,et al.Efficient Time Delay Estimation Method for Single Channel Mixed Signals with the Same Frequency[J].Systems Engineering and Electronic Technology,2014,36(7):1416-1421.(in Chinese)
[15] TU S L,ZHENG H,GU N.Sigle-Channel Blind Separation of Two QPSK Signals Using Per-Survivor Processing [C]//IEEE Asia Pacific Conference on Circuits and Systems.[S.l.]:IEEE,2008:473-476.
[16] 郭蒸,鄢社锋,徐立军,等.最大似然参数估计水声通信帧同步技术研究[J].声学学报,2018,43(3):283-290.GUO Z,YAN S F,XU L J,et al.Research on Frame Synchronization Technology for Underwater Acoustic Communication Based on Maximum Likelihood Parameter Estimation [J].Acta Acoustica Sinica,2018,43(3):283-290.(in Chinese)
[17] 张永光.一种非合作通信帧同步分析方法[J].通信对抗,2016,35(1):1-4,12.ZHANG Y G.A Non-Synchronous Communication Frame Synchronization Analysis Method [J].Communication countermeasure,2016,35(1):1-4,12.(in Chinese)
[18] D’ANDREA A N D,MENGALI U,REGGIANNINI R.Modified Cramer-Rao Bound and Its Application to Synchronization Problems[J].IEEE Trans Commun,1994,42(234):1391-1399.
[19] 瞿孟虹,何晓霜,游凌.同频混合信号参数联合最大似然递归估计[J].电子科技大学学报,2015,44(3):339-343,380.QU M H,HE X S,YOU L.Joint Maximum Likelihood Recursive Estimation of Simultaneous Frequency Mixed Signal Parameters[J].Journal of University of Electronic Science and Technology,2015,44(3):339-343,380.(in Chinese)
[20] LI Y,MIN N H,ZENG J.An Average Cramer-Rao Bound for Frequency Offset Estimation in Frequency-Selective Fading Channels[J].IEEE Transactions on Wireless Communications,2010,9(3):871-875.
[2] DUAN C,ZHAN Y,LIANG H.More General Performance Evaluation for Single-Channel PCMA Signals Blind Separation[J].IET Communications,2017,11(15):2297-2302.
[3] 纪健超,王宇.应用于卫星通信的DVB-S2载波同步算法研究[J].信息通信,2011(4):1-2,5.JI J C,WANG Y.Research on DVB-S2 Carrier Synchronization Algorithm for Satellite Communication [J].Information Communication,2011 (4):1-2,5.(in Chinese)
[4] MEIYAPPAN A,KIM H,KAM P Y.A Complex-Weighted,Decision-Aided,Maximum- Likelihood Carrier Phase and Frequency-Offset Estimation Algorithm for Coherent Optical Detection [J].Optics Express,2012,20(18):20102-20114.
[5] MENGALI U,MORELLI M.Data-Aided Frequency Estimation for Burst Digital Transmission[J].IEEE Transactions on Communications,1997,45(1):23-25.
[6] 谢铁城,达新宇,褚振勇,等.基于F-范数的变换域通信系统同步参数估计算法[J].空军工程大学学报(自然科学版),2014,15(1):57-61.XIE T C,DA X Y,CHU Z Y,et al.Synchronization Parameter Estimation Algorithm for Transform Domain Communication Systems Based on F-Norm[J].Journal of Air Force Engineering University(Natural Science Edition),2014,15(1):57-61 (in Chinese)
[7] 解辉,姚智刚,吕萌,等.基于SVD的通信信号背景下脉冲波形和初相估计[J].系统工程与电子技术,2017,39(11):2422-2427.XIE H,YAO Z G,LYU M,et al.Pulse Waveform and Initial Phase Estimation in the Context of SVD- Based Communication Signals [J].Systems Engineering and Electronic Technology,2017,39(11):2422-2427.(in Chinese)
[8] 韩立峰,尚耀波,张东伟.一种新的CPM信号载波同步算法[J].空军工程大学学报(自然科学版),2018,19(1):48-53.HAN L F,SHANG Y B,ZHANG D W.A New Carrier Synchronization Algorithm for CPM Signals[J].Journal of Air Force Engineering University (Natural Science Edition),2018,19(1):48-53.(in Chinese)
[9] 曹玉健,赵宇峰,涂世龙,等.基于循环矩的高阶调制PCMA信号的参数估计[J].遥测遥控,2015,36(6):24-32.CAO Y J,ZHAO Y F,TU S L,et al.Parameter Estimation of High-Order Modulated PCMA Signals Based on Cyclic Moments [J].Telemetry and Remote Control,2015,36(6):24-32.(in Chinese)
[10] 魏雪娟,杨勇,郭一鸣,等.PCMA系统中干扰信号的频偏与时延联合估计[J].通信学报,2017,38(2):173-182.WEI X J,YANG Y,GUO Y M,et al.Joint Estimation of Frequency Offset and Delay of Interfering Signals in PCMA System [J].Journal of Communications,2017,38(2):173-182.(in Chinese)
[11] 杨勇,张冬玲,彭华,等.单通道高阶调制线性混合信号的频偏估计[J].电子学报,2015,43(1):160-165.YANG Y,ZHANG D L,PENG H,et al.Frequency Offset Estimation of Single Channel High Order Modulation Linear Mixed Signals[J].Journal of Electronics,2015,43(1):160-165.(in Chinese)
[12] 张洋,彭华.比特谱相关改进循环谱的单通道混合信号参数估计快速算法[J].信号处理,2016,32(4):404-416.ZHANG Y,PENG H.Fast Algorithm for Estimating Parameters of Single Channel Mixed Signals Based on Improved Cyclic Spectrum by Bit Spectrum Correlation [J].Signal Processing,2016,32(4):404-416.(in Chinese)
[13] 杨勇,郭一鸣,王海昕,等.单通道邻频数字调制混合信号的载波初相估计[J].通信学报,2016,37(10):141-148.YANG Y,GUO Y M,WANG H X,et al.Carrier Initial Phase Estimation for Single Channel Digital Modulation Mixed Signals with Adjacent Frequency[J].Journal of Communications,2016,37(10):141-148.(in Chinese)
[14] 郭一鸣,杨勇,张冬玲,等.单通道同频混合信号时延高效估计方法[J].系统工程与电子技术,2014,36(7):1416-1421.GUO Y M,YANG Y,ZHANG D L,et al.Efficient Time Delay Estimation Method for Single Channel Mixed Signals with the Same Frequency[J].Systems Engineering and Electronic Technology,2014,36(7):1416-1421.(in Chinese)
[15] TU S L,ZHENG H,GU N.Sigle-Channel Blind Separation of Two QPSK Signals Using Per-Survivor Processing [C]//IEEE Asia Pacific Conference on Circuits and Systems.[S.l.]:IEEE,2008:473-476.
[16] 郭蒸,鄢社锋,徐立军,等.最大似然参数估计水声通信帧同步技术研究[J].声学学报,2018,43(3):283-290.GUO Z,YAN S F,XU L J,et al.Research on Frame Synchronization Technology for Underwater Acoustic Communication Based on Maximum Likelihood Parameter Estimation [J].Acta Acoustica Sinica,2018,43(3):283-290.(in Chinese)
[17] 张永光.一种非合作通信帧同步分析方法[J].通信对抗,2016,35(1):1-4,12.ZHANG Y G.A Non-Synchronous Communication Frame Synchronization Analysis Method [J].Communication countermeasure,2016,35(1):1-4,12.(in Chinese)
[18] D’ANDREA A N D,MENGALI U,REGGIANNINI R.Modified Cramer-Rao Bound and Its Application to Synchronization Problems[J].IEEE Trans Commun,1994,42(234):1391-1399.
[19] 瞿孟虹,何晓霜,游凌.同频混合信号参数联合最大似然递归估计[J].电子科技大学学报,2015,44(3):339-343,380.QU M H,HE X S,YOU L.Joint Maximum Likelihood Recursive Estimation of Simultaneous Frequency Mixed Signal Parameters[J].Journal of University of Electronic Science and Technology,2015,44(3):339-343,380.(in Chinese)
[20] LI Y,MIN N H,ZENG J.An Average Cramer-Rao Bound for Frequency Offset Estimation in Frequency-Selective Fading Channels[J].IEEE Transactions on Wireless Communications,2010,9(3):871-875.
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